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Finding the Fourth Proportional to 76,142.94, 105,077.45 and 42,152.40

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Solution

The fourth proportional to 76,142.94, 105,077.45 and 42,152.40 is: 58,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,142.94 : 105,077.45 = 42,152.40 : x
  2. Step 2: Convert to fraction form
    76,142.94/105,077.45 = 42,152.40/x
  3. Step 3: Cross multiply
    76,142.94x = 105,077.45 × 42,152.40
  4. Step 4: Simplify right side
    76,142.94x = 4,429,266,808.76
  5. Step 5: Solve for x
    x = 4,429,266,808.76/76,142.94
  6. Step 6: Final answer
    x = 58,170.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.